Investigation of the spectral properties of a fourth order differential operator with finite transmission conditions |
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| Authors: | Ekin Uğurlu |
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| Institution: | Department of Mathematics, Ankara University, Ankara, Turkey |
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| Abstract: | In this paper, the spectral analysis of a singular dissipative fourth order differential operator in lim‐4 case with finite transmission conditions is investigated. For this purpose, the inverse operator with explicit form is used. Finally, with the help of Liv?ic's theorem, it is proved that all root vectors of the fourth order dissipative operator in lim‐4 case with finite transmission conditions are complete in the Hilbert space. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | fourth order operator dissipative operators transmission conditions completeness theorem |
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